On disconjugacy for vector linear Hamiltonian systems on time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F00%3A00008159" target="_blank" >RIV/00216224:14310/00:00008159 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On disconjugacy for vector linear Hamiltonian systems on time scales
Original language description
In this work we present a unified treatment of continuous and discrete vector linear Hamiltonian systems on a general time scale T, with the matrix B<sub>t</sub> not necessarily invertible. This contains as special cases the Sturm-Liouville differentialand difference equations of higher order. We define generalized zeros for vector solutions (x,u) of the Hamiltonian system. From this we read off the corresponding definition of generalized zero points for solutions of the Sturm-Liouville equations, so that the well known continuous case (T=R) and recently developed discrete one (T=Z) are unified. We show that disconjugacy of the equation implies positivity of the corresponding quadratic functional.
Czech name
On disconjugacy for vector linear Hamiltonian systems on time scales
Czech description
In this work we present a unified treatment of continuous and discrete vector linear Hamiltonian systems on a general time scale T, with the matrix B<sub>t</sub> not necessarily invertible. This contains as special cases the Sturm-Liouville differentialand difference equations of higher order. We define generalized zeros for vector solutions (x,u) of the Hamiltonian system. From this we read off the corresponding definition of generalized zero points for solutions of the Sturm-Liouville equations, so that the well known continuous case (T=R) and recently developed discrete one (T=Z) are unified. We show that disconjugacy of the equation implies positivity of the corresponding quadratic functional.
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Communications in Difference Equations: Proceedings of the Fourth International Conference on Difference Equations
ISBN
90-5699-688-6
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
181-188
Publisher name
Gordon and Breach
Place of publication
Amsterdam
Event location
Poznan
Event date
Jan 1, 1998
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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